Answered: chickens follow a normal distribution…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

In a large farm, the weights of chickens follow a normal distribution with a mean of ? kg and a standard
deviation of ? kg. It is given that the percentage of chickens being lighter than 1.83kg is the same as the
percentage of those being heavier than 3.43kg. Moreover, 89.04% chickens weigh between 1.83kg and
3.43kg.
(a) Find ? and ?.
(b) If 9 chickens are selected randomly from the farm, find the probability that the mean of their weights
lies between 2.5kg and 3.1kg.
(c) Is the computation in part (b) rely on the Central Limit Theorem? Explain.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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